A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 3.0 kPa against the full area of the sign. The dimensions of the poles and sign are h1 = 12.0 m. h2 = 3.0 m, and b = 6.0 m. To prevent buckling of the walls of the poles, the thickness t is pecified as one tenth the outside diameter d. h2 Wind load a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 60 MPa in the aluminum. Round to the nearest whole number. mm b) Determine the minimum required diameter based upon an allowable shear stress of 10 MPa. Round to one decimal place. = mm

A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 3.0 kPa against the full area of the sign. The dimensions of the poles and sign are h1 = 12.0 m. h2 = 3.0 m, and b = 6.0 m. To prevent buckling of the walls of the poles, the thickness t is pecified as one tenth the outside diameter d. h2 Wind load a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 60 MPa in the aluminum. Round to the nearest whole number. mm b) Determine the minimum required diameter based upon an allowable shear stress of 10 MPa. Round to one decimal place. = mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.9.5P: A sign for an automobile service station is supported by two aluminum poles of hollow circular cross...

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